A={ multiples of 3 between 10 and 20}. B={Even numbers between 10 and 20}. I. AnB

ii. AuB

Answers

Answer 1

A U B = {10, 12, 14, 15, 16, 18, 20}.Thus, the required solutions are:

i. A ∩ B = {12, 18}

ii. A U B = {10, 12, 14, 15, 16, 18, 20}.

Given A={multiples of 3 between 10 and 20} and B={even numbers between 10 and 20}, we need to find the following :i. A ∩ B (intersection of A and B)ii. A U B (union of A and B)

i. A ∩ B (intersection of A and B)The multiples of 3 between 10 and 20 are 12, 15 and 18.The even numbers between 10 and 20 are 10, 12, 14, 16, 18 and 20Therefore, the intersection of A and B is {12, 18}.Therefore, A ∩ B = {12, 18}

ii. A U B (union of A and B).The multiples of 3 between 10 and 20 are 12, 15 and 18.The even numbers between 10 and 20 are 10, 12, 14, 16, 18 and 20Therefore, the union of A and B is {10, 12, 14, 15, 16, 18, 20}.

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Related Questions

Which side lengths form a right triangle?

Answers

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

Determine the geometric mean of 11 and 8.

Answers

Answer:

[tex]\sqrt{88}[/tex]

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]

Here, a = 11 and b = 8

The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]

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Write the equation of the line.

Answers

y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.

how many times can 1/4 go into 6​

Answers

Answer:

24 times

Step-by-step explanation:

Answer:24

Step-by-step explanation:

please help me , I am so confused my head is hurting from this problem...​

Answers

Answer:

For the first one you could do 1 and 3/5 for the second one you ca  do 2/5 3/5 and 3/5 again to get the answer

Step-by-step explanation:

1 + 3/5 = 1 3/5

2/5 + 3/5 + 3/5 = 1 3/5

I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!

Answers

Answer:

The answer are

CX=10/3

ML=76

Step-by-step explanation:

NUMBER 4

We know that the averages are divided 1 to 2 by the base

[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]

NUMBER 5

[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]

graph x<2/9 on a number line

Answers

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole  number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

Paki answer po fi d the value of k mentally​

Answers

Answer:

We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.

1) 30 = k*(15/4)

To solve this, we can just multiply by (4/15) in both sides, so we get:

30*(4/15) = k*(15/4)*(4/15)

(30/15)*4 = k

2*4 = k

8 = k

2) 360 = k*√36

Here you need to remember that:

6*6 = 36

then √36 = 6

We could just replace that in the equation:

360 = k*6

now let's divide both sides by 6.

360/6 = k*6/6

60 = k

3) 64 = k*(4²)*(2²)

Here we need to remember that:

4² = 16

2² = 4

We can replace these in the equation to get:

64 = k*16*4

and 4*16 = 64

then:

64 = k*64

Now let's divide both sides by 64.

64/64 = k*64/64

1 = k

4) 100 = k*(25)*(4)

Here we know that 4*25 = 100

So replacing that in the equation we get a similar expression to the above one.

100 = k*100

Now let's divide both sides by 100

100/100 = k*100/100

1 = k

5) 6 = k*3

Here just divide both sides by 3.

6/3 = k*3/3

2 = k

I really need someone's help please!

Answers

Answer:

Felipe subtracted 3x from both sides of the equation.

Answer:

-2

Step-by-step explanation:

first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6  because of where the = is and get your answer

what is m



A.
B.
C.
D.

Answers

Answer: .B.

Step-by-step explanation

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.

Answers

Answer:

Katie drinks 56 cups (3.5 gallons) of water in one week.

Step-by-step explanation:

16 - 0.5 (1/2) = 0.5 (1/2)

16 - 1/2 = 8

8 x 7 days (1 week)

= 56 cups

Katie drinks 56 cups (3.5 gallons) of water in one week.

Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15

A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.

Answers

Answer:

the correct answer is C the system of equations has no solution.

4 minutes 53 seconds to seconds

Answers

Answer: 293 Seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

one minute = 60 seconds

4 x 60 = 240 seconds   -------> use the equation above to multiply per min

240 + 53 = 293 seconds  -------> add the remaining seconds to find total

Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string

Answers

Answer:

10/7 feet

Step-by-step explanation:

Let e = Ethan

k = Kayla

The following equations can de derived from the equation :

1/2 e = 2/3k

multiply both sides of the equation by 2

e = 4/3k --- 1

e + k = 10 --- 2

Substitute for e in equation 2

4/3k + k = 10

7/3k = 10

multiply both sides of the equation by 3/7

k = 30/7

Substitute for k in equation 1

e = (4/3) x 30/7 = 40/7

difference in length = 40/7 - 30/7 = 10/7

Help me find the slope to 0,0 and 6,1

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Slopes and gradient.

slope, m = y2-y1/ x2-x1

hence, m = 1-0/ 6-0

m = 1/6

hence slope = 0.166

The guy above is correct

But wouldn’t want to make you waste your points so now I will get them.

Thank you!!!

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

2 A town park has two biking trails. Marsh Trail is 5 miles long. Woodland Trail is
2 miles long. How much longer is Marsh Trail than Woodland Trail?
Show your work.
How do I show my work and what is the answer

Answers

Answer:

25/10

Step-by-step explanation:

Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).

This makes 5x10=50+3=53/10

Do the same for the second fraction. 2x5=10+4=14/5

Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.

Now, just take it away.

53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.

simplify (8x^3 + 7x^2 - 3x + 6) + ( -2x^2 - 5x + 4 )

Answers

Answer:

hello! :) have a good day!

8x³ + 5x² − 8x + 10

(8x^3+7^2-3x+6)+(-2x^2-5x+4)

parentheses

8x^3+7^2-3x+6 + -2x^2-5x+4

like terms

8x^3 + (7x ^2 -2x^2) + (-3x -5x) + (6 +4)

simplify

8x^3 + 5 x^2 -8 x+10

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

Enter the correct answer in the box.
What is the standard form of function f?

[tex]f(x)=4(x+6)^2+5[/tex]

Substitute numerical values into the equation for a, b, and c.

[tex]f(x)=ax^{2} +bx+c[/tex]

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64

Answers

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Please give Brainliest

Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

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(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11

Answers

Answer:

x=9 option C

Step-by-step explanation:

explanation above

Please mark me as brainlist

Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?

Answers

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value

Answers

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
How many hours does Desmond need to work each month to spend 50% of his/her income
on fixed expenses?

Answers

Answer:  160 hours

============================================================

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

-------------------------------

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

I tried it isn't 30 cm

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

6 74/500 as a decimal (giving another chance for brainliest)

Answers

Answer:

6.148

Step-by-step explanation:

please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.

What is the length of AC?

Answers

Answer:

Step-by-step explanation:

AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]

    =12

Please please help I will give brainliest

Answers

Answer:

67

4*4*4=64

64+3=

67

THE ANSWER IS 67!!!!!!

2(3x-9)=2x+10 what's x

Answers

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.

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